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Simplifying -6n + 15 + -3n + 9 = n + -41 Reorder the terms: 15 + 9 + -6n + -3n = n + -41 Combine like terms: 15 + 9 = 24 24 + -6n + -3n = n + -41 Combine like terms: -6n + -3n = -9n 24 + -9n = n + -41 Reorder the terms: 24 + -9n = -41 + n Solving 24 + -9n = -41 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + -9n + -1n = -41 + n + -1n Combine like terms: -9n + -1n = -10n 24 + -10n = -41 + n + -1n Combine like terms: n + -1n = 0 24 + -10n = -41 + 0 24 + -10n = -41 Add '-24' to each side of the equation. 24 + -24 + -10n = -41 + -24 Combine like terms: 24 + -24 = 0 0 + -10n = -41 + -24 -10n = -41 + -24 Combine like terms: -41 + -24 = -65 -10n = -65 Divide each side by '-10'. n = 6.5 Simplifying n = 6.5
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